If 1/(x+1) + 2/(x -3) = 4/(x - 5) then x equals to
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Answer:
Step-by-step explanation:
Given y = (x+1)(x+2)(x+3)(x+4)(x+5)
Differentiate w.r.t.x
dy/dx = (x+2)(x+3)(x+4)(x+5) + (x+1)(x+3)(x+4)(x+5) + (x+1)(x+2)(x+4)(x+5) + (x+1)(x+2)(x+3)(x+5) + (x+1)(x+2)(x+3)(x+4)
At x = 0
dy/dx = (2×3×4×5) + (1×3×4×5) + (1×2×4×5) + (1×2×3×5) + (1×2×3×4)
= 120 + 60 + 40 + 30 + 24
= 274
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